Theorems · Theorem · measure theory

MeasureTheory.VectorMeasure.restrict_dirac

∀ {α : Type u_1} {mα : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
  {s : Set α} {x : α} {m : M},
  MeasurableSet s →
    ∀ [inst_2 : Decidable (x ∈ s)],
      (MeasureTheory.VectorMeasure.dirac x m).restrict s = if x ∈ s then MeasureTheory.VectorMeasure.dirac x m else 0

Defined in

Mathlib.MeasureTheory.VectorMeasure.Basic

Cited by

4 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceDecidable